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Finding the Third Proportional to 21,183 and 45,606

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Solution

The third proportional to 21,183 and 45,606 is: 98,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,183 : 45,606 = 45,606 : x
  2. Step 2: Convert to fraction form
    21,183/45,606 = 45,606/x
  3. Step 3: Cross multiply
    21,183x = 45,606 × 45,606
  4. Step 4: Simplify right side
    21,183x = 2,079,907,236
  5. Step 5: Solve for x
    x = 2,079,907,236/21,183
  6. Step 6: Final answer
    x = 98,187.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.